If A and B are sets; Ac and Bc denote the complements of the sets A and B, then set  (A - B) U (B - A) U (A ∩ B) is equal to

Q: Let A %3D {a, b, с}, В %3D {b, с, d}, and C %3D {ь, с, е}. (a) Find A U (B n C), (A U B) n C, and (A…

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Q: If A,B and C are sets, then (AUB)-C= (A – C)U(B –C). %3D |

A: 14. Given three sets A, B and C. We have to prove that A∪B-C=A-C∪B-C. In order to prove that 2 sets…

Q: (a) Choose a set that is equal to the set of Scott's favorite menu items. Customer Set of favorite…

A: The set including Shrimp, Samosa, and Gumbo will be called a set a equal to the set of Scott's…

Q: If A and B are sets, and A = B, then A and B cannot be disjoint. True False

A: Given that If A and B are sets and A=B then A and B cannot be disjoint.

Q: 1. If A and B are sets, show that AB if and only if AUB=B. 2. If A and B are sets, show that AB if…

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Q: IF A and B are sets then A-BC A UB

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Q: Let A and B be sets. 1) If |A| = 10, |B| = 24, and |A n B| = 4, then |A U B| = || %3D 2) If |A U B|…

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Q: Which of the following statements are set identities? That is, which of the statements are true for…

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Q: When A, B, and C are sets, A∩(B⋃C) = (A∩B)⋃C if and only if     A ∩ C ⊆ A ∩ B     C ⊆ A     A…

A: According to the given information it is required to tell that when the below statement holds.

Q: Suppose A and B are sets such that |A| = 2 and |B| = 3. What is |P(A x B)|?

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Q: Which of the following statements is true about the three sets A.B.C defined below: A=[ – 4,4]…

A: The given three sets are: A=[-4,4]B=[-6,2]C=[-2,6] i.e. the set A consists of the elements…

Q: • Let A, B and C be sets, then (AN (B U C))- 1. (AUB“)nc- 2. (BU A) n c- 3. (CNB5)UA- (AN BE)nce 4.

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Q: If A and B are sets such that A C B then A × BC B × B. O true false

A: True.

Q: If a universal set contains 250 elements,

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Q: If A and B are sets; Aºand B°denote the complements of the sets A and B, then the set (A – B) U (B –…

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Q: If A,B and C are sets, then A x (B-C) = (A × B)- (A x C). |

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Q: If A and B are sets; A and B denote the complements of the sets A and B, then set (A- B)U(B –…

A: Using venn diagram we solve this question.

Q: If A and B are sets; Aºand Bºdenote the complements of the sets A and B, then the set (A – B) U (B –…

A: Given:- If A and B are sets; Ac and Bc denote the complements of the sets A and B, then the set (A -…

Q: True or False: For sets A and B, if A cB, then A u B = A. True False

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Q: If A and B are sets; A and B denote the complements of the sets A and B, then set (4- B)U(B –…

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Q: Let A = {0, 1, 2, 3, 4, 5}, B = {1, 3, 5, 7, 9}, and C = {0, 2, 4, 6, 8} e. Is there a pair of…

A: The given sets are A=0, 1, 2, 3, 4, 5, B=1, 3, 5, 7, 9 and C=0, 2, 4, 6, 8. e. Since the sets A and…

Q: What can you say about the sets A and B if we know that a) A ∪ B = A? b) A ∩ B = A? c) A − B = A? d)…

A: (Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: If A and B are sets; A° and B denote the complements of the sets A and B, then set (A- B)U(B –…

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Q: If U = { a, b, c, d, e, f, g, h}, find the complements of the following sets :(i) A = {a, b, c} (ii)…

A: Given:

Q: If A and B are any two sets and A U B = A ∩ B, then a. A= Ø b. B= Ø c. A=B d. None of these

A: topic - sets option C.   A=B

Q: If A and B are sets; A and B°denote the complements of the sets A and B, then the se (A – B) U (B –…

A: Given that: (A-B)U(B-A)U(A∩B)

Q: If A and B are sets such that ACB then A × BC B x B. true false

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Q: if A and B are set, then A x B=B x A  True or False

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Q: If A and B are sets; A° and Bº denote the complements of the sets A and B, then set (A- B)U(B –…

A: Given A and B are sets. Ac and Bc denote the complements of the sets A and B.

Q: 30. Given A, B,C, and D are sets, if ACB and CcD, then A×CcBxD. T. b c e

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Q: Which of the following statements is true OA. For all sets A, B and C, A- (B –C) = (A - B) -C- O B.…

A: Option B and E are correct.

Q: If n(A ∪ B) = 2n(A), then A and B are equivalent sets.

A: Here use definition of equivalent set

Q: Can you conclude that A= Bif A B, and Care the sets such that a) AUC= BUC (Click to select) v b)…

A: Use the properties of set.

Q: The intersection of sets A and B is denoted by which of the following?(a) A ∩ B (b) A ∪ B (c) A ⊆ B…

A: Sets are represented as the collection of different objects . There can be a finite set or an…

Q: Let A, B and D be sets. If A n B = Ø then prove that (A – B) – (B n D) = A.

A: Take x in left hand side and prove it belong to A and vice versa.

Q: If X and Y are two sets such that X ∪ Y has 50 elements, X has 28 elements and Y has 32 elements,…

A: Given that n(X ∪ Y)= 50  n(X)= 28 and n(Y)=32  We have to find n(X ∩ Y )= ?

Q: Given the sets U= {x / x is a letter in the word "entertainment"} A= {a ,e ,i} B= {x/x is a…

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Q: 1. For any sets A, B, and C; the distributive law states AU (B nC); that is a. (A U B) n (A UC) b.…

A: Let A, B, and C are three sets

Q: Use an element argument to prove the statement that for all sets A, B, and C, if A ⊆ B then A ∪ B =…

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Q: The symmetric difference of two sets A O B is the set of elements that are in either the set A, or…

A: The aim is to show that, A⊕(B⊕C)=(A⊕B)⊕C It is known that, A⊕B=A∪B-A∩B So A⊕(B⊕C) can be written as,…

Q: Let A and B be sets. Then B (B – A) -

A: Complement of set A =1-A

Q: For the sets A = {x | x <= 9, x is a natural number}, B = {2, 4, 6}, C = {3, 5, 8, 10}:a. Which…

A: Here given set A=x|x≤9, x is a natural number=1, 2, 3, 4, 5, 6, 7, 8, 9 and B = {2, 4, 6}, C = {3,…

Q: If P and Q are sets and n(T) = 6 and n(W) = 3, then n(P u Q) = 9. %3D True False

A: Here, given that P and Q sets and n(T)=6,n(W)=3. So, there is no condition on P and Q. So we can not…

Q: If A,B and C are sets, then A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C).

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Q: 31. If A and B are sets and An B = A, then ОВСА O B is empty O AC B A and B are

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Q: If A, B, C are sets, then a. A\(BUC) = (A\ B)(A\C) b. A\(BnC) = (A\ B)U(A\C)

A: We know that for two sets A and B: A \ B = A∩Bchere Bc is the compliment of set B Distributive Laws:…

Q: If A,B and C are sets, then (AUB)-C=(A-C)U(B–C).

A: